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It seems like they have tons of meaning in terms of squares, parallel lines, and many parts of triangle geometry, including the Pythagorean theorem and the angl
by schoen 9y ago
It seems like they have tons of meaning in terms of squares, parallel lines, and many parts of triangle geometry, including the Pythagorean theorem and the angle sum in a triangle being two rights angles.
- thaumasiotes 9y agoI don't see how right angles are relevant to parallel lines, but sure, they're significant in many places, including all the others you mentioned. But again, all of those things are built on an existing recognition of right angles. You could define a right angle as "an angle equal to half the angle sum of a triangle", but then "all right angles are equal" would be an easily provable theorem, not a postulate.